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Simplifying 2(t + -1) + -5(4t + -1) = 4 + -6(5t + 1) Reorder the terms: 2(-1 + t) + -5(4t + -1) = 4 + -6(5t + 1) (-1 * 2 + t * 2) + -5(4t + -1) = 4 + -6(5t + 1) (-2 + 2t) + -5(4t + -1) = 4 + -6(5t + 1) Reorder the terms: -2 + 2t + -5(-1 + 4t) = 4 + -6(5t + 1) -2 + 2t + (-1 * -5 + 4t * -5) = 4 + -6(5t + 1) -2 + 2t + (5 + -20t) = 4 + -6(5t + 1) Reorder the terms: -2 + 5 + 2t + -20t = 4 + -6(5t + 1) Combine like terms: -2 + 5 = 3 3 + 2t + -20t = 4 + -6(5t + 1) Combine like terms: 2t + -20t = -18t 3 + -18t = 4 + -6(5t + 1) Reorder the terms: 3 + -18t = 4 + -6(1 + 5t) 3 + -18t = 4 + (1 * -6 + 5t * -6) 3 + -18t = 4 + (-6 + -30t) Combine like terms: 4 + -6 = -2 3 + -18t = -2 + -30t Solving 3 + -18t = -2 + -30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30t' to each side of the equation. 3 + -18t + 30t = -2 + -30t + 30t Combine like terms: -18t + 30t = 12t 3 + 12t = -2 + -30t + 30t Combine like terms: -30t + 30t = 0 3 + 12t = -2 + 0 3 + 12t = -2 Add '-3' to each side of the equation. 3 + -3 + 12t = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 12t = -2 + -3 12t = -2 + -3 Combine like terms: -2 + -3 = -5 12t = -5 Divide each side by '12'. t = -0.4166666667 Simplifying t = -0.4166666667
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